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2 years ago

Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44

Mathematics

1 answer:

Dima020 [189]2 years ago

5 0

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

$s=r\theta$

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

$c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43$

So, radius = 6.34

Now, finding central angle:

$s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians$

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

Corn was planted in 24 sq.ft. of the vegetable garden.

Step-by-step explanation:

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Hence we will first find the total area of garden.

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Hence.

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3 years ago

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ANSWER

B. The two middle coefficients add to the correct number but do not multiply to the correct number.

EXPLANATION

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We split the middle term so that their sum is -13.

Tina use

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3 years ago

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stealth61 [152]

Answer:

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3 years ago